Solve 2(x - 2) - 3(x - 3) = 5(x - 5) of Algebraic Equations | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2 ( x - 2 ) - 3 ( x - 3 ) = 5 ( x - 5 )$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $x-2$.

$$2x-4-3\left(x-3\right)=5\left(x-5\right)$$

Use the distributive property to multiply $-3$ by $x-3$.

$$2x-4-3x+9=5\left(x-5\right)$$

Combine $2x$ and $-3x$ to get $-x$.

$$-x-4+9=5\left(x-5\right)$$

Add $-4$ and $9$ to get $5$.

$$-x+5=5\left(x-5\right)$$

Use the distributive property to multiply $5$ by $x-5$.

$$-x+5=5x-25$$

Subtract $5x$ from both sides.

$$-x+5-5x=-25$$

Combine $-x$ and $-5x$ to get $-6x$.

$$-6x+5=-25$$

Subtract $5$ from both sides.

$$-6x=-25-5$$

Subtract $5$ from $-25$ to get $-30$.

$$-6x=-30$$

Divide both sides by $-6$.

$$x=\frac{-30}{-6}$$

Divide $-30$ by $-6$ to get $5$.

$$x=5$$